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Plate Bending Macroelements

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Book cover Precursors of Isogeometric Analysis

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 256))

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Abstract

This chapter deals with plate bending analysis applying several CAD-based interpolations. First the performance of boundary-only Coons interpolation is studied; it will be shown that its simplest form coincides with the well-known BFS element of mid-1960s. Then Gordon interpolation is used (i.e., internal nodes are inserted) in order to improve the accuracy of the numerical solution; it will be shown that the Hermite tensor-product element is a special case. The applicability of Bernstein–Bézier interpolation, as a substitute of Lagrange and Hermite polynomials, is discussed in detail. Also, the use of B-splines is examined and it is clearly shown that the barriers are broken when a control points-based tensor product is applied to curvilinear domains. Numerical examples include rectangular and circular thin plates which are solved using a single macroelement.

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Authors and Affiliations

  1. School of Mechanical Engineering, National Technical University of Athens, Athens, Greece

    Christopher G. Provatidis

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  1. Christopher G. Provatidis
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Correspondence to Christopher G. Provatidis .

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Provatidis, C.G. (2019). Plate Bending Macroelements. In: Precursors of Isogeometric Analysis. Solid Mechanics and Its Applications, vol 256. Springer, Cham. https://doi.org/10.1007/978-3-030-03889-2_9

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  • DOI: https://doi.org/10.1007/978-3-030-03889-2_9

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-03888-5

  • Online ISBN: 978-3-030-03889-2

  • eBook Packages: EngineeringEngineering (R0)

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